| LEADER |
02130nam a22001937a 4500 |
| 001 |
1587536 |
| 044 |
|
|
|b ليبيا
|
| 100 |
|
|
|9 444253
|a Leghwel, Abd Alrzak M.
|e Author
|
| 245 |
|
|
|a A Review to a Conjecture of Faith and Menal
|
| 260 |
|
|
|b الجامعة الأسمرية الإسلامية زليتن - كليتى الآداب والعلوم
|c 2012
|
| 300 |
|
|
|a 1 - 8
|
| 336 |
|
|
|a بحوث ومقالات
|
| 520 |
|
|
|b A theorem of Faith and Walker asserts that a ring R is quasi-Frobenius if and only if every injective right R-module is projective and hence that every right module over a quasi-Frobenius ring embeds in a free module. There is an open question here. If we call a ring R a right FGF-ring if every finitely generated right R-module can be embedded in a free right R-module, it is not known if the following assertion is true: The FGF- Conjecture. Every right FGF -ring is quasi-Frobenius. Here are four important results on th conjecture: (1) every left Kash , right FGF-ring is quasi-Frobenius. (2) every right self-injective, right FGF-ring is quasi Frobenius. (3) every right perfect, right FGF-ring is quasi-Frobenius. (4) ever right CS, right FGFring is quasi-Frobenius. We then turn to the fundamental work of Gomez Pardo and Guil Asensio. A ring R is called aright CF- ring if every cyclic (that is principal) right R-module can be embedded in a free module. The open question here is as follows:The CF-conjecture : every right CF-ring is right artinian . Referring to (4) from the preceding list, Gomez Pardo and Guil Asensio prove that every right CS, right CF-ring is right artinian. The paper concludes with a relation between CF-ring and CEP-ring .
|
| 653 |
|
|
|a المركبات الحيوية
|a وحدات سيمبرفيكت
|a الخصائص الراديكالية
|
| 773 |
|
|
|4 العلوم الإنسانية ، متعددة التخصصات
|6 Humanities, Multidisciplinary
|c 007
|l 021
|m ع21
|o 1582
|s مجلة العلوم الإنسانية والتطبيقية
|t Journal of Humanities and Applied Sciences
|v 000
|
| 856 |
|
|
|u 1582-000-021-007.pdf
|
| 930 |
|
|
|d y
|p y
|
| 995 |
|
|
|a HumanIndex
|
| 999 |
|
|
|c 829070
|d 829070
|
